Spherical harmonics and spherical averages of Fourier transforms

zbMath1048.42013MaRDI QIDQ1878654

Per Sjoelin

Publication date: 7 September 2004

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108592

zbMATH Keywords

Fourier transformsspherical averages

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Hausdorff dimension and distance sets
• Some remarks on restriction of the Fourier transform for general measures
• Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets
• Estimates of spherial averages of Fourier transforms and dimensions of sets
• Estimates of averages of Fourier transforms with respect to general measures

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